Assessment of the effect of negative Poisson’s ratio on the thermal postbuckling of temperature dependent FG-GRMMC laminated cylindrical shells

Abstract

Auxetic materials have recently emerged as new types of advanced materials with unique material properties that conventional materials do not possess. In this paper, we examine the effect of in-plane negative Poisson’s ratio (NPR) on the thermal postbuckling behavior of graphene-reinforced metal matrix composite (GRMMC) laminated cylindrical shells. The shell consists of GRMMC layers arranged in a piece-wise functionally graded (FG) pattern and is subjected to a uniform thermal load surrounded by an elastic medium. Based on the molecular dynamics simulation results, it is noted that the temperature-dependent material properties of GRMMCs can be expressed as a nonlinear function of temperature. The thermal postbuckling problem of shells is modeled under the framework of the Reddy’s third order shear deformation theory and solved by using a singular perturbation technique in conjunction with a two-step perturbation approach. Numerical investigations are carried out for the postbuckling of (10/-10/10/-10/10)S and (10/-10/10)S shells with in-plane NPR. It is found that the FG-X pattern can enhance the buckling temperature and the thermal postbuckling strength of the shells. The anomaly is that the thermal buckling load and postbuckling strength of UD (10/-10/10)S shell are slightly higher than those of UD (10/-10/10/-10/10)S GRMMC laminated cylindrical shell.